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Simplifying 7x(-3 + 4) = 5(x + 6) Combine like terms: -3 + 4 = 1 7x(1) = 5(x + 6) Reorder the terms for easier multiplication: 7 * 1x = 5(x + 6) Multiply 7 * 1 7x = 5(x + 6) Reorder the terms: 7x = 5(6 + x) 7x = (6 * 5 + x * 5) 7x = (30 + 5x) Solving 7x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x = 30 + 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 2x = 30 + 0 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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